Uniform Circular Motion with friction

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SUMMARY

The discussion focuses on calculating the maximum safe speed for a car navigating a horizontal curve with a frictional coefficient of 0.58 and a radius of 125 meters. The user initially set up the problem using the equation Fc = Ff - Fg, which is incorrect as it conflates centripetal force with gravitational force. The correct approach involves recognizing that the frictional force provides the necessary centripetal force to maintain circular motion, leading to the equation Fc = Ff = μFn, where μ is the coefficient of friction and Fn is the normal force.

PREREQUISITES
  • Understanding of uniform circular motion principles
  • Knowledge of centripetal force and frictional force concepts
  • Familiarity with basic physics equations involving forces
  • Ability to manipulate equations involving mass, acceleration, and radius
NEXT STEPS
  • Study the derivation of centripetal force equations in circular motion
  • Learn how to apply the coefficient of friction in real-world scenarios
  • Explore the effects of varying radius and friction on maximum speed
  • Investigate the role of normal force in different surface conditions
USEFUL FOR

Physics students, automotive engineers, and anyone interested in the dynamics of vehicles in motion will benefit from this discussion.

serrino
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A car drives around a horizontal curve with a frictional coefficient of 0.58. What is the maximum safe speed for the carif the radius of the turn is 125m?

r= 125m
uk= 0.58
v=?

ok I set up the problem as
Fc=Ff-Fg

m (v2/r)=ukFn-(m)(g)

so the masses would cancel, but I'm stuck and nopt sure if I set it up right.

If you anyone could give me a little help it would be appreciated.
 
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You are making the equation too complex. Think about what force(s) are keeping the car in the circle and write another equation.
 
serrino said:
ok I set up the problem as
Fc=Ff-Fg
The force of gravity acts downward, not centripetally.
 

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